If there are applications in the category "Submitted - please complete", you need to take the respective action for the applications to be further processed. If your applications are in the category "Submitted", they are being processed with currently no action on your part required.
In the "applications" part of your Career Cockpit you can check the status of your applications in the "status" column. An explanation of the various status can be accessed by clicking on the question mark next to the title "status".
If your application was received as complete it will appear in the category "Submitted" in your application overview. You will also receive an email confirmation.
Application processing times can greatly vary depending on the job offer and the number of applicants.
In your Career Cockpit you can always see the current Status of your application(s). If you still have an urgent question although your application is in the category "Submitted" and is being processed, then you can use the help form in the footer of the page.